A14141. Floor and Mod

A pair of positive integers $(a,b)$ is called special if $\lfloor \frac{a}{b} \rfloor = a \bmod b$ . Here, $\lfloor \frac{a}{b} \rfloor$ is the result of the integer division between $a$ and $b$ , while $a \bmod b$ is its remainder.

You are given two integers $x$ and $y$ . Find the number of special pairs $(a,b)$ such that $1\leq a \leq x$ and $1 \leq b \leq y$ .

The first line contains a single integer $t$ ( $1 \le t \le 100$ ) — the number of test cases.

The only line of the description of each test case contains two integers $x$ , $y$ ( $1 \le x,y \le 10^9$ ).

For each test case print the answer on a single line.

In the first test case, the only special pair is $(3, 2)$ .

In the second test case, there are no special pairs.

In the third test case, there are two special pairs: $(3, 2)$ and $(4, 3)$ .